Lecture "Digital Signal Processing"

Basic Information

Lecturers:   Gerhard Schmidt (lecture) and Eric Elzenheimer (exercise)
Room:   Building C - SR II (lecture and exercise)
Language:   German
Target group:   Students of Electrical Engineering and Computer Engineering in their
6th semester, also for students of Computer Science or Physics with appropriate knowledge of signals and systems.
Prerequisites:   Mathematics for engineers I, II, III, Foundations in electrical engineering I, II

Topic overview:

  • Signal digitization
    • analogue-to-digital and digital-to-analogue conversion
    • quantization characteristics, quantization noise
    • sample and hold
    • sampling of functions and sequences with/without phase shift, down- and up-sampling (decimation, interpolation)
  • Spectra (DFT and FFT)
    • convolution via DFT, fast DFT evaluation
    • radix-2/DIT FFT and alternatives
    • transformation of real sequences, "pruning" and "zoom" FFT
    • spectral analysis of infinite sequences (windowing, periodograms of random signals)
  • Digital filters
    • difference and state equations
    • equivalent realisations/transformed structures, diagonal form, transition matrix
    • realisation effects (input, arithmetic, and coefficient errors)

    Rabiner, L. R.; Schafer, R. W.: Digital Processing of Speech Signals, Prentice-Hall, 1978
    Kondoz, A. M.: Digital Speech-Coding for Low Bit Rate Communications System, John Wiley & Sons, 1994
    von Grünigen, Daniel: Digitale Signalverarbeitung, Hanser, 2014



Information exercise: 

Please note that the exercise on Monday 03 June will be after the lecture (11:30) in KS2/Geb.C - SR II.

Additionally, the complete exercise on Monday 10 June will be shifted to 11:00 - 12:30 in KS2/Geb.C - SR II.

Lecture slides

  Slides of the lecture "Introduction"
(Introduction, boundary conditions of the lecture)
  Slides of the lecture "Signals"
(Signal types, AD and DA conversion, sample rate conversion)
  Slides of the lecture "Spectra"
(DFT, FFT, fast convolution)
  Slides of the lecture "Filter"
(Structures, state space desciption, realization)



Please note that the questionnaires will be uploaded every week before the excercises, if you download them earlier, you won't get the most recent version.

main additional    
  Exercise 1: Sampling
  Exercise 2: Quantization
    Exercise 3: Reconstruction
    Exercise 4: Sample Rate Conversion / Convolution
    Exercise 5: Discrete Fourier Transform (DFT) / Radix-2-FFT
    Exercise 6: FFTs of real and complex signals
    Exercise 7: Windowing effects
    Exercise 8: Signal-flow graph
    Exercise 9: Rounding effects in digital filters
    Exercise 10: Rounding effects in digital filters
    Exercise 11: Signal-flow graph
    Exercise 12: Signal-flow graph
    Exercise 13: Filter



Below is the list of students with their exam dates. If you do not have a date for the exam yet please use the oral exam booking system on this website.

Date   Time   Students (matriculation numbers)   Assessor
21.07.2017   10:30 h   1023479   Eric Elzenheimer
16.08.2017   10:30 h   1033430, 1023418   Eric Elzenheimer
06.09.2017   10:30 h   1032652   Eric Elzenheimer
02.10.2017   10:30 h   1022054, 1030685   Eric Elzenheimer


Website News

20.01.2017: Talk from Dr. Sander-Thömmes added.

12.01.2018: New RED section on Trend Removal added.

29.12.2017: Section Years in Review added.

28.12.2017: Update of our SONAR section.

03.12.2017: Added pictures from our Sylt meeting.

Recent Publications

T. O. Wisch, T. Kaak, A. Namenas, G. Schmidt: Spracherkennung in stark gestörten Unterwasserumgebungen, Proc. DAGA 2018

S. Graf, T. Herbig, M. Buck, G. Schmidt: Low-Complexity Pitch Estimation Based on Phase Differences Between Low-Resolution Spectra, Proc. Interspeech, pp. 2316 -2320, 2017


Prof. Dr.-Ing. Gerhard Schmidt

E-Mail: gus@tf.uni-kiel.de

Christian-Albrechts-Universität zu Kiel
Faculty of Engineering
Institute for Electrical Engineering and Information Engineering
Digital Signal Processing and System Theory

Kaiserstr. 2
24143 Kiel, Germany

Recent News

New PhDs in the DSS Team

Since January this year we have two new PhD students in the team: Elke Warmerdam and Finn Spitz.

Elke is from Amsterdam and she works in the neurology department in the university hospital in the group of Prof. Maetzler. Her research topic is movement analysis of patients with neurologic disorders. Elke cooperates with us in signal processing related aspects of her research. Elke plays ...

Read more ...